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Some Fixed Point Theorems on b2 - Metric Spaces

In this study, we generalize both b-metric spaces and 2-metric spaces into a new class of generalized metric spaces that we call b2-metric spaces. Then, under various contractive circumstances in partially ordered spaces, we demonstrate a few fixed point theorems in b2-metric space. Many Mathematician gave the concept of b2 -metric spaces as a generalization of 2-metric space. The purpose of this research article to established some results of 2-metric space proved by the Arun Garg et al. in b2 -metric spaces and prove new results.

Fixed Point, b - Metric Space, 2-Metric Space, Partial Order Set, Generalized Contractive Mappings

APA Style

Bheem Singh Patel, Zaheer Kareem Ansari, Dharmendra Kumar, Arun Garg. (2023). Some Fixed Point Theorems on b2 - Metric Spaces. Pure and Applied Mathematics Journal, 12(4), 72-78. https://doi.org/10.11648/j.pamj.20231204.12

ACS Style

Bheem Singh Patel; Zaheer Kareem Ansari; Dharmendra Kumar; Arun Garg. Some Fixed Point Theorems on b2 - Metric Spaces. Pure Appl. Math. J. 2023, 12(4), 72-78. doi: 10.11648/j.pamj.20231204.12

AMA Style

Bheem Singh Patel, Zaheer Kareem Ansari, Dharmendra Kumar, Arun Garg. Some Fixed Point Theorems on b2 - Metric Spaces. Pure Appl Math J. 2023;12(4):72-78. doi: 10.11648/j.pamj.20231204.12

Copyright © 2023 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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